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Topic: Foundations of mathematics... the order of bootstrapping the foundations
Replies: 13   Last Post: Aug 21, 2013 9:04 PM

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Lax

Posts: 50
Registered: 3/18/07
Foundations of mathematics... the order of bootstrapping the foundations
Posted: Aug 20, 2013 9:58 PM
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Please correct me if I'm wrong please:

This is the order of bootstrapping the foundations of mathematics:

1) Naive logic (like the ones the Greeks played with).
2) Use 1) to talk about Naive Set theory (like Halmos' book).
3) Use 2) above to define Mathematical Logic / First-Order Logic
4) Use 3) above to define axiomatic set theory.




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